The pipe can fill the swimming pool in 3 hours while the other pipe can empty the same pool in 7 hours. If both pipes are open, in how many hours will the pool be filled? (Express answer in 2 decimal places)
Let x be the time the pool be filled if both pipes are open.
Let x be the time the pool be filled if both pipes are open.
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ANSWER:
To find the time it takes for the pool to be filled if both pipes are open, we need to use the formula for calculating the time it takes for two people to complete a task when working together. This formula is:
Time for both pipes = 1 / (1/time for pipe 1 + 1/time for pipe 2)
In this case, we can plug in the values for the individual times for each pipe to find the time it takes for both pipes to work together:
Time for both pipes = 1 / (1/3 hours + 1/7 hours) = 1 / (0.33 + 0.14) = 1 / 0.47 = 2.13 hours
Therefore, it will take approximately 2.13 hours for the pool to be filled if both pipes are open.
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